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82394868 = 22319389929
BaseRepresentation
bin1001110100100…
…11111011110100
312202001002111210
410322103323310
5132043113433
612102001420
72020226163
oct472237364
9182032453
1082394868
1142567536
1223716270
13140bb47a
14ad2b3da
157378463
hex4e93ef4

82394868 has 48 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 25924608.

The previous prime is 82394831. The next prime is 82394909. The reversal of 82394868 is 86849328.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88228 + ... + 89156.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 282394868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82394868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

82394868 is an abundant number, since it is smaller than the sum of its proper divisors (120717132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82394868 is a wasteful number, since it uses less digits than its factorization.

82394868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 82394868 is about 9077.1618912521. The cubic root of 82394868 is about 435.1443885855.

The spelling of 82394868 in words is "eighty-two million, three hundred ninety-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 389 778 929 1167 1556 1858 2334 2787 3716 4668 5574 7391 11148 14782 17651 22173 29564 35302 44346 52953 70604 88692 105906 211812 361381 722762 1084143 1445524 2168286 4336572 6866239 13732478 20598717 27464956 41197434 82394868